Question

solving a linear equation algebraically
what is the value of x in the following equation?
-3x - 2 = 2x + 8
2
10
-10
-2

Explanation:

Step1: Move variables to left

Add \(3x\) to both sides: \(-3x - 2 + 3x = 2x + 8 + 3x\) → \(-2 = 5x + 8\)

Step2: Move constants to right

Subtract \(8\) from both sides: \(-2 - 8 = 5x + 8 - 8\) → \(-10 = 5x\)

Step3: Solve for \(x\)

Divide by \(5\): \(\frac{-10}{5} = \frac{5x}{5}\) → \(x = -2\)

Answer:

\(-2\)